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Finding the Fourth Proportional to 441,719.64, 609,417.64 and 288,847.24

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Solution

The fourth proportional to 441,719.64, 609,417.64 and 288,847.24 is: 398,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,719.64 : 609,417.64 = 288,847.24 : x
  2. Step 2: Convert to fraction form
    441,719.64/609,417.64 = 288,847.24/x
  3. Step 3: Cross multiply
    441,719.64x = 609,417.64 × 288,847.24
  4. Step 4: Simplify right side
    441,719.64x = 176,028,603,321.31
  5. Step 5: Solve for x
    x = 176,028,603,321.31/441,719.64
  6. Step 6: Final answer
    x = 398,507.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.